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Phys. Rev. E 64, 051905 (2001) [6 pages]

Disordered environments in spatial games

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Mendeli H. Vainstein and Jeferson J. Arenzon*
Instituto de Física Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, 91501-970 Porto Alegre, RS – Brazil

Received 4 April 2001; published 22 October 2001

The Prisoner’s dilemma is the main game theoretical framework in which the onset and maintainance of cooperation in biological populations is studied. In the spatial version of the model, we study the robustness of cooperation in heterogeneous ecosystems in spatial evolutionary games by considering site diluted lattices. The main result is that, due to disorder, the fraction of cooperators in the population is enhanced. Moreover, the system presents a dynamical transition at ρ*, separating a region with spatial chaos from one with localized, stable groups of cooperators.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.051905
DOI:
10.1103/PhysRevE.64.051905
PACS:
87.23.Cc, 05.50.+q

*Email address: arenzon@if.ufrgs.br